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Preface; Digital Art by Walid Ben Medjedel; Contents; List of Contributors; 1 On a Continuous Energy Monte Carlo Simulator for Neutron Transport: Optimisation with Fission, Intermediate and Thermal Distributions; 1.1 Introduction; 1.2 Neutron Transport by a Monte Carlo Method; 1.3 Program Description; 1.4 Nuclear Reactions; 1.5 Coupled Distributions; 1.6 Results; 1.7 Conclusions and Future Work; References; 2 The Use of Similarity Indices in the Analysis of Temporal Distribution of Mammals; 2.1 Introduction; 2.2 The Case Study; 2.3 The Statistical Model; 2.4 Results
2.5 Discussion and ConclusionReferences; 3 The Method of Superposition for Near-Field Acoustic Holography in a Semi-anechoic Chamber; 3.1 Introduction; 3.2 Method of Superposition; 3.3 Near-Field Acoustic Holography in a Half-Space; 3.4 Regularisation and Sparse Reconstruction; 3.5 Numerical Results; 3.6 Conclusions; References; 4 Application of Stochastic Dynamic Programming in Demand Dispatch-Based Optimal Operation of a Microgrid; 4.1 Introduction; 4.2 Problem Description; 4.3 Stochastic Dynamic Programming; 4.4 Inventory Control Model
4.5 Problem Formulation by SDP (Inventory Control Model)4.6 Lemma; 4.7 Solution Approach: Step by Step; 4.8 Summary and Conclusion; References; 5 Spectral Boundary Element Algorithms for Multi-Length Interfacial Dynamics; 5.1 Introduction; 5.2 Mathematical Formulation; 5.3 Interfacial Spectral Boundary Element Algorithms; 5.4 Multi-Length Interfacial Dynamics Problems; References; 6 Kinect Depth Recovery Based on Local Filtersand Plane Primitives; 6.1 Introduction; 6.2 Proposed Method; 6.3 Experimental Results; 6.4 Conclusion; References
7 On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales7.1 Introduction; 7.2 Neutron Poisons; 7.3 Point Kinetics with Poisons; 7.4 Solution by Decomposition; 7.5 Numerical Results; 7.6 Algorithm Stability; 7.7 Conclusions; References; 8 Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations; 8.1 Introduction; 8.2 Details of Implementation in the Case of WeaklySingular Kernels; 8.3 Numerical Results; 8.4 Conclusion; References; 9 Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media
9.1 Introduction9.2 Modelling Infiltration by the Richards Equation; 9.3 The Parametrised Solution; 9.4 Comparison to Benchmark Simulations (HYDRUS) and Self-Consistency Test; 9.5 Conclusions; References; 10 Mathematical Models of Cell Clustering Due to Chemotaxis; 10.1 Introduction; 10.2 Simple Model; 10.3 Boundary Integral Model; 10.4 Numerical Results; 10.5 Conclusions; References; 11 An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework; 11.1 Introduction; 11.2 Extended Boundary Element Method; 11.3 Adaptive Cross Approximation
2.5 Discussion and ConclusionReferences; 3 The Method of Superposition for Near-Field Acoustic Holography in a Semi-anechoic Chamber; 3.1 Introduction; 3.2 Method of Superposition; 3.3 Near-Field Acoustic Holography in a Half-Space; 3.4 Regularisation and Sparse Reconstruction; 3.5 Numerical Results; 3.6 Conclusions; References; 4 Application of Stochastic Dynamic Programming in Demand Dispatch-Based Optimal Operation of a Microgrid; 4.1 Introduction; 4.2 Problem Description; 4.3 Stochastic Dynamic Programming; 4.4 Inventory Control Model
4.5 Problem Formulation by SDP (Inventory Control Model)4.6 Lemma; 4.7 Solution Approach: Step by Step; 4.8 Summary and Conclusion; References; 5 Spectral Boundary Element Algorithms for Multi-Length Interfacial Dynamics; 5.1 Introduction; 5.2 Mathematical Formulation; 5.3 Interfacial Spectral Boundary Element Algorithms; 5.4 Multi-Length Interfacial Dynamics Problems; References; 6 Kinect Depth Recovery Based on Local Filtersand Plane Primitives; 6.1 Introduction; 6.2 Proposed Method; 6.3 Experimental Results; 6.4 Conclusion; References
7 On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales7.1 Introduction; 7.2 Neutron Poisons; 7.3 Point Kinetics with Poisons; 7.4 Solution by Decomposition; 7.5 Numerical Results; 7.6 Algorithm Stability; 7.7 Conclusions; References; 8 Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations; 8.1 Introduction; 8.2 Details of Implementation in the Case of WeaklySingular Kernels; 8.3 Numerical Results; 8.4 Conclusion; References; 9 Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media
9.1 Introduction9.2 Modelling Infiltration by the Richards Equation; 9.3 The Parametrised Solution; 9.4 Comparison to Benchmark Simulations (HYDRUS) and Self-Consistency Test; 9.5 Conclusions; References; 10 Mathematical Models of Cell Clustering Due to Chemotaxis; 10.1 Introduction; 10.2 Simple Model; 10.3 Boundary Integral Model; 10.4 Numerical Results; 10.5 Conclusions; References; 11 An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework; 11.1 Introduction; 11.2 Extended Boundary Element Method; 11.3 Adaptive Cross Approximation